13255006272144 has 480 divisors, whose sum is σ = 44257721610240. Its totient is φ = 3340838172672.

The previous prime is 13255006272143. The next prime is 13255006272169. The reversal of 13255006272144 is 44127260055231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13255006272096 and 13255006272105.

It is not an unprimeable number, because it can be changed into a prime (13255006272143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1701755802 + ... + 1701763590.

It is an arithmetic number, because the mean of its divisors is an integer number (92203586688).

Almost surely, 2^{13255006272144} is an apocalyptic number.

13255006272144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13255006272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128860805120).

13255006272144 is an abundant number, since it is smaller than the sum of its proper divisors (31002715338096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13255006272144 is a wasteful number, since it uses less digits than its factorization.

13255006272144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 13255006272144 in words is "thirteen trillion, two hundred fifty-five billion, six million, two hundred seventy-two thousand, one hundred forty-four".